Station 1: Log Transformation Placemats
𝑔(𝑥)
ln⁡(𝑥)
1
𝑔(3𝑥)
B
+
D
?
E
$
A

C
∞
ln(𝑥) + ln(3)
2
𝑥
𝑔( )
3
ln(𝑥) − ln⁡(3)
3
ln(𝑥 3 )
3𝑔(𝑥)
4
𝑔(𝑥)
3
3
ln( √𝑥 )
5
Station 2: Log Properties Placemats
125
log 5 (
)
𝑥
3 − log 5 𝑥
1
log 5 (25𝑥)
J
2 + log 5 𝑥
2
𝑥3𝑦4
log 5 ( 5 )
𝑧
F
3log 5 𝑥 − 5 log 5 𝑧 + 4 log 5 𝑦
E
3
log 5 (
1
1
1
− log 5 𝑧 + log 5 𝑦 + log 5 𝑥
5
4
3
1
3
√𝑥 𝑦 4
1
𝑧5
)
4
I
2
√𝑥𝑦
log 5 ( 3 )
𝑧
log 5 𝑥 + 2 log 5 𝑦 − 6 log 5 𝑧
5
C
𝑥2𝑦
√
log 5 ( 3 )
√𝑧
1
1
log 5 𝑥 + log 5 𝑦 − log 5 𝑧
2
6
B
6
𝑥2 + 9
log 5 ( 2
)
𝑥 −9
log 5 (𝑥 2 + 9) − log 5 (𝑥 + 3) − log 5 (𝑥 − 3)
7
(𝑥 + 9)2
log 5 (
)
(𝑥 − 9)2
A
2 log 5 (𝑥 + 9) − 2 log 5 (𝑥 − 9)
G
8
𝑙𝑛 5
𝑙𝑛4
log 4 5
H
9
𝑙𝑜𝑔4
𝑙𝑜𝑔5
log 5 4
10
D
Station 3: Exponential and Logarithmic Equation Placemats
log 2 𝑥 = 8
𝑥 = 256
1
A
log 2 8 = 𝑥
𝑥=3
2
log 𝑥 8 = 2
C
𝑥 = 2√2
3
E
32𝑥+2 = 27𝑥−1
𝑥=5
4
42𝑥 = 5𝑥+1
G
𝑥=
5
𝑙𝑛5
2𝑙𝑛4 − 𝑙𝑛5
D
𝑥=
𝑙𝑛(𝑥 + 1) + 𝑙𝑛4 = 𝑙𝑛5
1
4
B
6
𝑥=
log 4 (2𝑥 + 1) − log 4 64 = −1
15
2
H
7
25𝑥 − 8 ∙ 5𝑥 = 20
𝑥 = log 5 10
8
F